Question

Q.1. There is a rectangular onion storehouse in a farm. The length of rectangular base is
more than its breadth by 7m and diagonal is more than length by 1m. Find length and
breadth of the storehouse.
with label diagram​

Answer 1

Answer:

$\huge\purple{Answer}$

ANSWER

Let the length be l & breadth be x

l = b+7

diagonals = l 2 +b 2l 2 +b 2 =l+1

substituting the value of l,

(b+7) 2 +b 2 =b+7+1

⇒ b 2 +49+14b+b 2 =b+8

⇒ Squaring both sides:-

2b 2 +14b+49=(b+8) 2

⇒2b 2 +14b+49=b 2 +16b+64

⇒b2 −2b−15=0

⇒(b−5)(b+3)=0

Since b cannot be negative,

∴ b = 5 & l = 12

Answer 2

Answer:

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